1. Sullivan Algebra and Trigonometry: Section R.7 Rational Expressions
Objectives of this Section
Reduce a Rational Expression to Lowest Terms
Multiply and Divide Rational Expressions
Add and Subtract Rational Expressions
Use the Least Common Multiple Method
Simplify Mixed Quotients

2. The quotient of two polynomials is called a rational expression.

3. Simplify:
The number 1
Simplify:
The number 1

4. Rules for Multiplying and Dividing Rational Expressions

5. Perform the indicated operation and simplify

7. Rules for Adding and Subtracting Rational Expressions, Denominators Equal

8. Perform the indicated operation and simplify the result.

9. STEP 1: Find least common multiple

11. Simplifying a Mixed Quotient
First, treat the numerator and denominator separately, performing the indicated operation. Then, simplify the numerator and denominator.

12. Finally, simplify the resulting fraction